Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra

Authors

  • Florentin Smarandache University of New Mexico, 705 Gurley Ave., GallupCampus, New Mexico 87301, United States

Keywords:

n-Power Set of a Set, n-SuperHyperGraph(n-SHG), n-SHG-vertex, n-SHG-edge, Plithogenic n-SuperHyperGraph, n-ary HyperOperation, n-ary HyperAxiom, n-aryHyperAlgebra, n-ary NeutroHyperOperation, n-ary NeutroHyperAxiom, n-ary NeutroHyperAlgebra, n-ary AntiHyperOperation, n-ary AntiHyperAxiom, n-ary AntiHyperAlgebra

Abstract

We recalland improveour 2019conceptsof n-Power Set of a Set, n-SuperHyperGraph, Plithogenic n-SuperHyperGraph, andn-ary HyperAlgebra, n-ary NeutroHyperAlgebra, n-ary AntiHyperAlgebrarespectively, and we present several properties and examples connected with thereal world.

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Published

2020-05-02

Issue

Vol. 33 (2020): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Smarandache, F. (2020). Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra. Neutrosophic Sets and Systems, 33, 290-296. http://fs.unm.edu/nss8/index.php/111/article/view/198

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